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Syllogism

Direction: In each of the question below are Four statements following by Four conclusions numbered I, II, II and IV. You have to take the Four given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follows from the two statements disregarding commonly known fact.

1. Statement:
All belts are rollers. Some rollers are wheels. All wheels are mats.
Some mats are cars.
Conclusions:
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.
1. Only I and II follow
2. Only I, III and IV follow
3. Only I and IV follow
4. Only II, III and IV follow
5. None of these
Correct Option: C

Some rollers are wheels + All wheels are mats = I + A = I = Some rollers are mats → conversion → Some mats are rollers (I) Hence I follows. Some rollers are mats + Some mats are cars = I + I = No conclusion Hence III does not follow. All belts are rollers (A) → conversion → Some rollers are belts(I) Hence IV follows. All belts are rollers + Some rollers are mats = I + A = No conclusion Hence II does not follow.

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